Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 189 and 432.

**Answer**

$189=({3}^{3})(7)$

$432=({2}^{4})({3}^{3})$

The LCM of 189 and 432 is the product of the largest powers of each prime factor in both.

Thus the LCM of 189 and 432

$=({2}^{4})({3}^{3})(7)$

$=3024$